How do you solve #15 2( d + 18) - 17#?

Question

How do you solve #15> 2( d + 18) - 17#?

Isaiah Anthony · Accepted Answer

#-2>d# To solve this inequality, you want to start with distributing the #2# on the right side. When you do this, you get #15>2d+36-17# because you have to multiply the #2# by #d# and by #18#. The next step is to combine like terms on the right side. This means that you would have to subtract #17# from #36# and get #19#. The inequality is now #15>2d+19#. Next, you need to look at your signs on the right side. You must move the #19# over to the left side, and you would do this by subtracting the #19# from the #15#. You would subtract because the #17# is negative. An easy way to remember when you subtract and when you add is simple. You always do the opposite of what the sign of you number is. For example, if I had a #-19#, I would add it, but if I had a #89#, I would subtract. Your inequality is now #-4> 2d#. You always move the numbers with the variable last. In this case, we have a positive #2# with the #d#. The #2# is being multiplied by the #d#, so therefore we would divide the #-4# by #2#. This gives you the final answer of #-2>d#.

Julia Adams · Answer

undefined To solve $15 > 2(d + 18) - 17$, follow these steps:

1. Distribute the 2:
   $15 > 2d + 36 - 17$

2. Combine like terms:
   $15 > 2d + 19$

3. Subtract 19 from both sides:
   $15 - 19 > 2d$

4. Simplify:
   $-4 > 2d$

5. Divide both sides by 2:
   $-2 > d$

So, the solution is $d < -2$.

How do you solve #15&gt; 2( d + 18) - 17#?

How do you solve #15> 2( d + 18) - 17#?